6/(x+3)=8/x

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Solution for 6/(x+3)=8/x equation: 



6/(x+3)=8/x

We move all terms to the left:

6/(x+3)-(8/x)=0



Domain of the equation: (x+3)!=0

We move all terms containing x to the left, all other terms to the right

x!=-3

x∈R





Domain of the equation: x)!=0

x!=0/1

x!=0

x∈R



We add all the numbers together, and all the variables

6/(x+3)-(+8/x)=0

We get rid of parentheses

6/(x+3)-8/x=0

We calculate fractions


6x/(x^2+3x)+(-8x-24)/(x^2+3x)=0

We multiply all the terms by the denominator


6x+(-8x-24)=0

We get rid of parentheses

6x-8x-24=0

We add all the numbers together, and all the variables

-2x-24=0

We move all terms containing x to the left, all other terms to the right

-2x=24

x=24/-2

x=-12

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